42061874400 has 1080 divisors, whose sum is σ = 192349329480. Its totient is φ = 8865884160.

The previous prime is 42061874383. The next prime is 42061874423. The reversal of 42061874400 is 447816024.

42061874400 is a `hidden beast` number, since 4 + 206 + 1 + 8 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 41277091 + ... + 41278109.

It is an arithmetic number, because the mean of its divisors is an integer number (178101231).

Almost surely, 2^42061874400 is an apocalyptic number.

42061874400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42061874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96174664740).

42061874400 is an abundant number, since it is smaller than the sum of its proper divisors (150287455080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42061874400 is a wasteful number, since it uses less digits than its factorization.

42061874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 42061874400 in words is "forty-two billion, sixty-one million, eight hundred seventy-four thousand, four hundred".